U6L2 Transformations as Functions

• ABCD
• directed line segment
• corresponding
• rule

This table looks like a table that shows corresponding ​ (a)   of a function. A transformation is a ​ (b)   that takes points in the plane as inputs and gives other points as outputs. In this case, the ​ (c)   is to add 5 to the x-coordinate and subtract 1 from the y-coordinate.

We write the rule this way:

(x, y) → (x + ​ (d)   , y -​ (e)   ).

• 5
• 1
• inputs and outputs
• special type of function
• function’s rule

A translation moves P(3,5) to P′(6,1). What are the coordinates of the image of point (−3,−5) under the same translation?